Fixed points theorems for (φ, ψ, p)-weakly contractive mappings via w-distance in relational metric spaces with applications

Antal, Swati; Khantwal, Deepak; Negi, Smita; Gairola, U.C.

doi:10.2298/fil2321319a

Filomat

2023

DOI: 10.2298/fil2321319a

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Fixed points theorems for (φ, ψ, p)-weakly contractive mappings via w-distance in relational metric spaces with applications

Swati Antal,

Deepak Khantwal,

Smita Negi

et al.

Abstract: In this paper, we establish certain fixed point theorems for (?, ?, p)-weakly contractive mappings on relational metric spaces by using the notion of w-distance and locally S-transitivity of binary relation. Our results generalize the results of Alam and Imdad (J. Fixed Point Theory Appl., 17(4), 693-702, 2015), Senapati and Dey (J. Fixed Point Theory Appl., 19, 2945-2961, 2017) and many others of the existing literature. Moreover, we have an application to the nonlinear Fredholm integral equ… Show more

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2024

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Cited by 4 publications

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Unified interpolative of a Reich-Rus-Ćirić-type contraction in relational metric space with an application

Vara Prasad,

Mishra,

Mitrović

et al. 2024

J Inequal Appl

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In this paper, we introduce the notion of unified interpolative contractions of the Reich–Rus–Ćirić type and give some results about the fixed points for these mappings in the framework of relational metric spaces. We present examples where the results of some previous research are not relevant. Also, we apply our results to solving problems related to nonlinear matrix equations, emphasizing their practical importance.

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Unified interpolative of a Reich-Rus-Ćirić-type contraction in relational metric space with an application

Vara Prasad,

Mishra,

Mitrović

et al. 2024

J Inequal Appl

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Relational Almost (ϕ,ψ)-Contractions and Applications to Nonlinear Fredholm Integral Equations

Alamrani,

Algehyne,

Alshaban

et al. 2024

Axioms

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This paper deals with the fixed-point findings under relational strict almost (ϕ,ψ)-contraction. Our findings complement and strengthen prevailing results. In the course of the procedure, we also derive a related fixed point theorem for strict almost (ϕ,ψ)-contraction. We provide several illustrative examples to support the validity of our outcomes. We also argue about the possibility of a unique solution of a nonlinear Fredholm integral equation via our outcomes.

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Fixed point results for generalized almost contractions and application to a nonlinear matrix equation

Prasad,

Mishra,

Mitrović

et al. 2024

MATH

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<abstract><p>The goal of this paper was to improve some known results of fixed points by using $ w $-distances and properties of locally symmetric $ \mathcal{H} $-transitivity of binary relations. Also, we gave the application of the obtained results for finding the solution of nonlinear matrix equations. Finally, we gave a numerical example to demonstrate the applicability of our results.</p></abstract>

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Fixed points theorems for (φ, ψ, p)-weakly contractive mappings via w-distance in relational metric spaces with applications

Cited by 4 publications

References 17 publications

Unified interpolative of a Reich-Rus-Ćirić-type contraction in relational metric space with an application

Unified interpolative of a Reich-Rus-Ćirić-type contraction in relational metric space with an application

Relational Almost (ϕ,ψ)-Contractions and Applications to Nonlinear Fredholm Integral Equations

Fixed point results for generalized almost contractions and application to a nonlinear matrix equation

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